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CHAPTER 23 IS A CIRCLE AN ELLIPSE
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now contains an ellipse value that isn t a circle value. On the other hand, if, after such an update, the focal points of the value that is now the current value in that ellipse variable do coincide, then the ellipse variable now contains an ellipse value that is a circle value. In other words: Some ellipse values are circle values. Every circle value is an ellipse value. Any ellipse variable can contain a circle value (it can also contain just an ellipse value ). However, a circle variable must contain a circle value specifically (it can t possibly contain just an ellipse value, because such an ellipse value is not a circle value). Now, I d be the first to agree that the wording in the previous two paragraphs is intolerably clumsy. It is, however, accurate (and in computing contexts above all others, surely, accuracy is paramount). And distinguishing properly between values and variables is what lets us achieve that accuracy. In the object world, by contrast, people talk in terms, not of values and variables, but of objects ... and (it seems to me) therein lies the problem. What is an object Is it a value Is it a variable Is it both Is it something else entirely 7 7. In most systems, this difference will be reflected by having a circle and an ellipse provide sets of operations that are not subsets of each other. To begin with, I can t resist pointing out that if a circle and an ellipse were to provide sets of operations that were subsets of each other, then they d both be providing exactly the same set of operations! In other words, at least one of those sets must not be a subset of the other. But presumably what Sentence Number 7 means is that, in particular, type CIRCLE is not a subtype of type ELLIPSE at least in most systems ( ) and so type ELLIPSE does have some associated operations that type CIRCLE doesn t (as well as type CIRCLE having some associated operations that type ELLIPSE doesn t). Notice, by the way, that the phrase a circle and an ellipse in Sentence Number 7 really means type CIRCLE and type ELLIPSE (operations are associated with types, not with individual values or individual variables). So we see that within a single paragraph, the very same word circle is used to mean (a) sometimes a circle value, (b) sometimes a circle variable, and (c) sometimes a circle type (and analogously for the word ellipse, of course). In fact, type vs. object (meaning a value or a variable ) is another of the great logical differences, and again it s one that s very often muddled in the literature. No wonder this subject is so confusing, when the literature itself is not only confusing but (apparently) confused as well. Finally, note the failure in Sentence Number 7 (and throughout the paragraph, in fact) to distinguish between read-only and update operations: another source of confusion, and another reason why (in my opinion) the model of inheritance that s being advocated is inadequate as a model of reality.
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Software Engineering vs. Conceptual Modeling
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Let me now say in fairness that it probably wasn t Stroustrup s goal to advocate an inheritance model that could serve as a good model of reality. The paragraph I ve been examining is taken from 23 of his book. The title of that chapter is Development and Design, and it s concerned primarily with the software production process at a relatively high level (slightly
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7. These questions are, of course, rhetorical (somewhat). In any given system, it must presumably be possible to answer them. But the problem is, they have different answers in different systems! Certainly there s no consensus. And that s why there s confusion (or, at least, that s one reason why there s confusion).
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